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spin [16.1K]
3 years ago
9

Scale on map 1inch: 3 miles The park is 27miles from the house. How far in inches would it be on the map. Show work

Mathematics
2 answers:
viktelen [127]3 years ago
7 0
There will be 9 inches on the map for we just take 27:3. Hope you get it.
zavuch27 [327]3 years ago
6 0
 i think There will be 9 inches on the map for we just take 27:3
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Determine if the lines r1(t) = <3, 0, 2> + t <1, 2, −2> and r2(s) = <0, 1, −1> + s <4, 1, 1> intersect,
Temka [501]

Answer:

Yes lines are intersecting, point of intersection is <4,2,0>.

Step-by-step explanation:

Given parametric equations of line are:

r_{1}(t) =  + t  \\ r_{1}(t) = \\ r_{1}(t) = ---(1)

r_{2}(s) =  + s \\ r_{2}(s) = \\ r_{2}(s) = ---(2)\\

If lines are intersecting then parametric coordinates of (1) are equal to (2)

3+t=4s---(A)\\2t=1+s---(B)\\2-2t=s-1---(C)\\

Considering A and B to find values of t and s

From A

t=4s-3---(D)

Putting in (B)

2(4s-3)=1+s

8s-6=1+s

7s=7

s=1

Then

t=4-3

t=1

If lines are intersecting then these values of s and t must satisfy (C)

2-2(1)=1-1

0=0

This shows lines are intersecting.

At this value of t, (1) becomes

r_{1}(1) = \\=

Putting s=1 in (2)

r_{2}(1)=4, 1+1,-1+1>\\=

Point of intersection is <4,2,0>.

4 0
3 years ago
Eva follows the bond market and often purchases bonds issued by Sanden Research Labs. Last year, she purchased three such bonds
Deffense [45]
<span>$119.05



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8 0
3 years ago
Read 2 more answers
4.
Arlecino [84]

Answer:

66

Step-by-step explanation:

6 0
3 years ago
Please answer now correct answer fast
Vikki [24]

Answer:

Area = 112.1 m^2

Step-by-step Explanation:

Given:

∆WXY

m < X = 130°

WY = x = 31 mm

m < Y = 26°

Required:

Area of ∆WXY

Solution:

Find the length of XY using Law of Sines

\frac{w}{sin(W)} = \frac{x}{sin(X)}

X = 130°

x = WY = 31 mm

W = 180 - (130 + 26) = 24°

w = XY = ?

\frac{w}{sin(24)} = \frac{31}{sin(130)}

Multiply both sides by sin(24) to solve for x

\frac{w}{sin(24)}*sin(24) = \frac{31}{sin(130)}*sin(24)

w = \frac{31*sin(24)}{sin(130)}

w = 16.5 mm (approximated)

XY = w = 16.5 mm

Find the area of ∆WXY

area = \frac{1}{2}*w*x*sin(Y)

= \frac{1}{2}*16.5*31*sin(26)

= \frac{16.5*31*sin(26)}{2}

Area = 112.1 m^2 (to nearest tenth).

8 0
3 years ago
Find that image of P(-2,4) under a translation along the vector (6,5)
ollegr [7]

Answer:

  P'(4, 9)

Step-by-step explanation:

Add the translation vector to the point:

  P' = P +(6, 5) = (-2, 4) +(6, 5) = (-2+6, 4+5)

  P' = (4, 9)

4 0
3 years ago
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